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Suppose that T: R2 -> R2 is linear, T(1,0) = (1,4), and T(l, 1) = (2,5). What is T(2,3)

Chapter 2, Problem 10

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QUESTION:

Suppose that T: R2 -> R2 is linear, T(1,0) = (1,4), and T(l, 1) = (2,5). What is T(2,3)? Is T one-to-one?

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QUESTION:

Suppose that T: R2 -> R2 is linear, T(1,0) = (1,4), and T(l, 1) = (2,5). What is T(2,3)? Is T one-to-one?

ANSWER:

Step 1 of 3

Let A be a standard matrix for T.

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